Solve 2,(-12.7)-(-52/5)-87.3+33/5

$$2 , ( - 12.7 ) - ( - 5 \frac { 2 } { 5 } ) - 87.3 + 3 \frac { 3 } { 5 }$$

Sort

$$-91,2$$

Solution Steps

Multiply 5 and 5 to get 25.

$$sort(2,-12.7-\left(-\frac{25+2}{5}\right)-87.3+\frac{3\times 5+3}{5})$$

Add 25 and 2 to get 27.

$$sort(2,-12.7-\left(-\frac{27}{5}\right)-87.3+\frac{3\times 5+3}{5})$$

The opposite of -\frac{27}{5} is \frac{27}{5}.

$$sort(2,-12.7+\frac{27}{5}-87.3+\frac{3\times 5+3}{5})$$

Convert decimal number -12.7 to fraction -\frac{127}{10}.

$$sort(2,-\frac{127}{10}+\frac{27}{5}-87.3+\frac{3\times 5+3}{5})$$

Least common multiple of 10 and 5 is 10. Convert -\frac{127}{10} and \frac{27}{5} to fractions with denominator 10.

$$sort(2,-\frac{127}{10}+\frac{54}{10}-87.3+\frac{3\times 5+3}{5})$$

Since -\frac{127}{10} and \frac{54}{10} have the same denominator, add them by adding their numerators.

$$sort(2,\frac{-127+54}{10}-87.3+\frac{3\times 5+3}{5})$$

Add -127 and 54 to get -73.

$$sort(2,-\frac{73}{10}-87.3+\frac{3\times 5+3}{5})$$

Convert decimal number 87.3 to fraction \frac{873}{10}.

$$sort(2,-\frac{73}{10}-\frac{873}{10}+\frac{3\times 5+3}{5})$$

Since -\frac{73}{10} and \frac{873}{10} have the same denominator, subtract them by subtracting their numerators.

$$sort(2,\frac{-73-873}{10}+\frac{3\times 5+3}{5})$$

Subtract 873 from -73 to get -946.

$$sort(2,\frac{-946}{10}+\frac{3\times 5+3}{5})$$

Reduce the fraction \frac{-946}{10} to lowest terms by extracting and canceling out 2.

$$sort(2,-\frac{473}{5}+\frac{3\times 5+3}{5})$$

Multiply 3 and 5 to get 15.

$$sort(2,-\frac{473}{5}+\frac{15+3}{5})$$

Add 15 and 3 to get 18.

$$sort(2,-\frac{473}{5}+\frac{18}{5})$$

Since -\frac{473}{5} and \frac{18}{5} have the same denominator, add them by adding their numerators.

$$sort(2,\frac{-473+18}{5})$$

Add -473 and 18 to get -455.

$$sort(2,\frac{-455}{5})$$

Divide -455 by 5 to get -91.

$$sort(2,-91)$$

To sort the list, start from a single element 2.

$$2$$

Insert -91 to the appropriate location in the new list.

$$-91,2$$

Evaluate

$$2,-91$$